Does the reward change at all? If so how frequently and what's the math behind it?
Block reward schedule:
Blocks 2-123313: 1 AEG (0.5 AEG to the block finder, 0.5 AEG to the masternode winner)
Blocks 123314-123699: 140 AEG (40 AEG to the block finder, 100 AEG to the masternode winner)
Blocks 123700-131281: 1 AEG (0.5 AEG to the block finder, 0.5 AEG to the masternode winner)
Blocks 131282-197034: 140 AEG (70 AEG to the block finder, 70 AEG to the masternode winner)
Blocks 197035-241674: 126 AEG (63 AEG to the block finder, 63 AEG to the masternode winner)
Blocks 241675-286314: 112 AEG (56 AEG to the block finder, 56 AEG to the masternode winner)
Blocks 286315-329514: 98 AEG (49 AEG to the block finder, 49 AEG to the masternode winner)
Blocks 329515-374154: 84 AEG (42 AEG to the block finder, 42 AEG to the masternode winner)
Blocks 374155-417354: 70 AEG (35 AEG to the block finder, 35 AEG to the masternode winner)
Blocks 417355-461994: 56 AEG (28 AEG to the block finder, 28 AEG to the masternode winner)
Blocks 461995-506634: 42 AEG (21 AEG to the block finder, 21 AEG to the masternode winner)
Blocks 506635-546954: 28 AEG (14 AEG to the block finder, 14 AEG to the masternode winner)
Blocks 546955+: 20 AEG (10 AEG to the block finder, 10 AEG to the masternode winner)